25125420100 has 135 divisors (see below), whose sum is σ = 60435317005. Its totient is φ = 9066772000.

The previous prime is 25125420083. The next prime is 25125420109. The reversal of 25125420100 is 102452152.

The square root of 25125420100 is 158510.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9045151236 + 16080268864 = 95106^2 + 126808^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (25125420109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 191797035 + ... + 191797165.

Almost surely, 2^25125420100 is an apocalyptic number.

25125420100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25125420100 is the 158510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25125420100

25125420100 is an abundant number, since it is smaller than the sum of its proper divisors (35309896905).

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

25125420100 is an equidigital number, since it uses as much as digits as its factorization.

25125420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 25125420100 its reverse (102452152), we get a palindrome (25227872252).

The spelling of 25125420100 in words is "twenty-five billion, one hundred twenty-five million, four hundred twenty thousand, one hundred".