25123022032152 has 128 divisors (see below), whose sum is σ = 69280401899520. Its totient is φ = 7528703760000.

The previous prime is 25123022032091. The next prime is 25123022032237.

It is a happy number.

25123022032152 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×25123022032152² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7476627 + ... + 10302717.

It is an arithmetic number, because the mean of its divisors is an integer number (541253139840).

Almost surely, 2^{25123022032152} is an apocalyptic number.

25123022032152 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 25123022032152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34640200949760).

25123022032152 is an abundant number, since it is smaller than the sum of its proper divisors (44157379867368).

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

25123022032152 is a wasteful number, since it uses less digits than its factorization.

25123022032152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826485 (or 2826481 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

It can be divided in two parts, 2512302 and 2032152, that added together give a palindrome (4544454).

The spelling of 25123022032152 in words is "twenty-five trillion, one hundred twenty-three billion, twenty-two million, thirty-two thousand, one hundred fifty-two".