25201000 has 128 divisors (see below), whose sum is σ = 67392000. Its totient is φ = 8736000.

The previous prime is 25200979. The next prime is 25201027. The reversal of 25201000 is 10252.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318961 + ... + 319039.

It is an arithmetic number, because the mean of its divisors is an integer number (526500).

Almost surely, 2^25201000 is an apocalyptic number.

25201000 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 25201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33696000).

25201000 is an abundant number, since it is smaller than the sum of its proper divisors (42191000).

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

25201000 is a wasteful number, since it uses less digits than its factorization.

25201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 25201000 is about 5020.0597606005. The cubic root of 25201000 is about 293.1833197593.

Adding to 25201000 its reverse (10252), we get a palindrome (25211252).

The spelling of 25201000 in words is "twenty-five million, two hundred one thousand".