25521433412552 has 192 divisors, whose sum is σ = 62343295842240. Its totient is φ = 9679635302400.

The previous prime is 25521433412539. The next prime is 25521433412693.

25521433412552 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80636003 + ... + 80951885.

It is an arithmetic number, because the mean of its divisors is an integer number (324704665845).

Almost surely, 2^{25521433412552} is an apocalyptic number.

25521433412552 is a gapful number since it is divisible by the number (22) 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 25521433412552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31171647921120).

25521433412552 is an abundant number, since it is smaller than the sum of its proper divisors (36821862429688).

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

25521433412552 is a wasteful number, since it uses less digits than its factorization.

25521433412552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316412 (or 316401 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 44.

It can be divided in two parts, 2552143 and 3412552, that added together give a palindrome (5964695).

The spelling of 25521433412552 in words is "twenty-five trillion, five hundred twenty-one billion, four hundred thirty-three million, four hundred twelve thousand, five hundred fifty-two".