25119080100 has 189 divisors, whose sum is σ = 81864682417. Its totient is φ = 6687010080.

The previous prime is 25119080089. The next prime is 25119080113. The reversal of 25119080100 is 108091152.

The square root of 25119080100 is 158490.

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., 9042868836 + 16076211264 = 95094^2 + 126792^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 42792007 + ... + 42792593.

Almost surely, 2^25119080100 is an apocalyptic number.

25119080100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25119080100 is the 158490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25119080100

25119080100 is an abundant number, since it is smaller than the sum of its proper divisors (56745602317).

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

25119080100 is an frugal number, since it uses more digits than its factorization.

25119080100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 25119080100 in words is "twenty-five billion, one hundred nineteen million, eighty thousand, one hundred".