25771564 has 48 divisors (see below), whose sum is σ = 56137536. Its totient is φ = 10080000.

The previous prime is 25771561. The next prime is 25771567. The reversal of 25771564 is 46517752.

It is an interprime number because it is at equal distance from previous prime (25771561) and next prime (25771567).

It is a super-2 number, since 2×25771564² = 1328347022012192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25771561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36414 + ... + 37114.

It is an arithmetic number, because the mean of its divisors is an integer number (1169532).

Almost surely, 2^25771564 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 25771564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28068768).

25771564 is an abundant number, since it is smaller than the sum of its proper divisors (30365972).

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

25771564 is a wasteful number, since it uses less digits than its factorization.

25771564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 824 counting only the distinct ones).

The product of its digits is 58800, while the sum is 37.

The square root of 25771564 is about 5076.5701019488. The cubic root of 25771564 is about 295.3794370573.

It can be divided in two parts, 25771 and 564, that added together give a triangular number (26335 = T₂₂₉).

The spelling of 25771564 in words is "twenty-five million, seven hundred seventy-one thousand, five hundred sixty-four".