1525535675664 has 480 divisors, whose sum is σ = 5395730651136. Its totient is φ = 365092439040.

The previous prime is 1525535675647. The next prime is 1525535675687. The reversal of 1525535675664 is 4665765355251.

It is a junction number, because it is equal to n+sod(n) for n = 1525535675598 and 1525535675607.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197425369 + ... + 197433095.

Almost surely, 2^{1525535675664} is an apocalyptic number.

1525535675664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1525535675664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697865325568).

1525535675664 is an abundant number, since it is smaller than the sum of its proper divisors (3870194975472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1525535675664 is a wasteful number, since it uses less digits than its factorization.

1525535675664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8363 (or 8350 counting only the distinct ones).

The product of its digits is 113400000, while the sum is 60.

The spelling of 1525535675664 in words is "one trillion, five hundred twenty-five billion, five hundred thirty-five million, six hundred seventy-five thousand, six hundred sixty-four".