25253311335252 has 384 divisors, whose sum is σ = 80411163463680. Its totient is φ = 5955823779840.

The previous prime is 25253311335229. The next prime is 25253311335253.

25253311335252 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×25253311335252² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25253311335253) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 570583908 + ... + 570628164.

It is an arithmetic number, because the mean of its divisors is an integer number (209404071520).

Almost surely, 2^{25253311335252} is an apocalyptic number.

25253311335252 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 25253311335252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40205581731840).

25253311335252 is an abundant number, since it is smaller than the sum of its proper divisors (55157852128428).

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

25253311335252 is a wasteful number, since it uses less digits than its factorization.

25253311335252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45071 (or 45069 counting only the distinct ones).

The product of its digits is 810000, while the sum is 42.

The spelling of 25253311335252 in words is "twenty-five trillion, two hundred fifty-three billion, three hundred eleven million, three hundred thirty-five thousand, two hundred fifty-two".