25346500 has 48 divisors (see below), whose sum is σ = 55875456. Its totient is φ = 10044000.

The previous prime is 25346491. The next prime is 25346509. The reversal of 25346500 is 564352.

It is an interprime number because it is at equal distance from previous prime (25346491) and next prime (25346509).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25346509) 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, 81345 + ... + 81655.

It is an arithmetic number, because the mean of its divisors is an integer number (1164072).

Almost surely, 2^25346500 is an apocalyptic number.

25346500 is a gapful number since it is divisible by the number (20) 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 25346500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27937728).

25346500 is an abundant number, since it is smaller than the sum of its proper divisors (30528956).

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

25346500 is a wasteful number, since it uses less digits than its factorization.

25346500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 25346500 is about 5034.5307626431. The cubic root of 25346500 is about 293.7464764931.

It can be divided in two parts, 2 and 5346500, that multiplied together give a triangular number (10693000 = T₄₆₂₄).

The spelling of 25346500 in words is "twenty-five million, three hundred forty-six thousand, five hundred".