2536252526352 has 160 divisors (see below), whose sum is σ = 6642449320320. Its totient is φ = 833817600000.

The previous prime is 2536252526341. The next prime is 2536252526369.

2536252526352 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2111783352 + ... + 2111784552.

It is an arithmetic number, because the mean of its divisors is an integer number (41515308252).

Almost surely, 2^{2536252526352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2536252526352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321224660160).

2536252526352 is an abundant number, since it is smaller than the sum of its proper divisors (4106196793968).

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

2536252526352 is a wasteful number, since it uses less digits than its factorization.

2536252526352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 2627 counting only the distinct ones).

The product of its digits is 6480000, while the sum is 48.

The spelling of 2536252526352 in words is "two trillion, five hundred thirty-six billion, two hundred fifty-two million, five hundred twenty-six thousand, three hundred fifty-two".