25585151562 has 128 divisors (see below), whose sum is σ = 60665241600. Its totient is φ = 7975775808.

The previous prime is 25585151561. The next prime is 25585151563. The reversal of 25585151562 is 26515158552.

25585151562 is a `hidden beast` number, since 2 + 5 + 5 + 85 + 1 + 5 + 1 + 562 = 666.

It is an interprime number because it is at equal distance from previous prime (25585151561) and next prime (25585151563).

It is a super-2 number, since 2×25585151562² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25585151561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10497408 + ... + 10499844.

It is an arithmetic number, because the mean of its divisors is an integer number (473947200).

Almost surely, 2^25585151562 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25585151562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30332620800).

25585151562 is an abundant number, since it is smaller than the sum of its proper divisors (35080090038).

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

25585151562 is a wasteful number, since it uses less digits than its factorization.

25585151562 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2651 counting only the distinct ones).

The product of its digits is 600000, while the sum is 45.

It can be divided in two parts, 25585 and 151562, that added together give a 11-th power (177147 = 3¹¹).

The spelling of 25585151562 in words is "twenty-five billion, five hundred eighty-five million, one hundred fifty-one thousand, five hundred sixty-two".