1925015625 has 147 divisors (see below), whose sum is σ = 3906571089. Its totient is φ = 947700000.

The previous prime is 1925015623. The next prime is 1925015639. The reversal of 1925015625 is 5265105291.

The square root of 1925015625 is 43875.

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

1925015625 is a `hidden beast` number, since 1 + 9 + 25 + 0 + 1 + 5 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 903062601 + 1021953024 = 30051^2 + 31968^2 .

It is not a de Polignac number, because 1925015625 - 2¹ = 1925015623 is a prime.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 1925015625.

It is not an unprimeable number, because it can be changed into a prime (1925015623) by changing a digit.

It is a polite number, since it can be written in 146 ways as a sum of consecutive naturals, for example, 148078119 + ... + 148078131.

Almost surely, 2^1925015625 is an apocalyptic number.

1925015625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1925015625 is the 43875-th square number.

1925015625 is the 21938-th centered octagonal number.

It is an amenable number.

1925015625 is an abundant number, since it is smaller than the sum of its proper divisors (1981555464).

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

1925015625 is an frugal number, since it uses more digits than its factorization.

1925015625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The cubic root of 1925015625 is about 1243.9743330777.

Multiplying 1925015625 by its sum of digits (36), we get a square (69300562500 = 263250²).

The spelling of 1925015625 in words is "one billion, nine hundred twenty-five million, fifteen thousand, six hundred twenty-five".