1295828625 has 192 divisors, whose sum is σ = 2806382592. Its totient is φ = 518918400.

The previous prime is 1295828591. The next prime is 1295828629. The reversal of 1295828625 is 5268285921.

It is not a de Polignac number, because 1295828625 - 2⁶ = 1295828561 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1295828629) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10203312 + ... + 10203438.

It is an arithmetic number, because the mean of its divisors is an integer number (14616576).

Almost surely, 2^1295828625 is an apocalyptic number.

1295828625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1295828625 is an abundant number, since it is smaller than the sum of its proper divisors (1510553967).

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

1295828625 is a wasteful number, since it uses less digits than its factorization.

1295828625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 178 counting only the distinct ones).

The product of its digits is 691200, while the sum is 48.

The square root of 1295828625 is about 35997.6197129755. The cubic root of 1295828625 is about 1090.2242966300.

The spelling of 1295828625 in words is "one billion, two hundred ninety-five million, eight hundred twenty-eight thousand, six hundred twenty-five".