2501015825 has 96 divisors (see below), whose sum is σ = 4062597120. Its totient is φ = 1481760000.

The previous prime is 2501015807. The next prime is 2501015849. The reversal of 2501015825 is 5285101052.

It is not a de Polignac number, because 2501015825 - 2¹⁸ = 2500753681 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3963260 + ... + 3963890.

It is an arithmetic number, because the mean of its divisors is an integer number (42318720).

Almost surely, 2^2501015825 is an apocalyptic number.

2501015825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2501015825 is a deficient number, since it is larger than the sum of its proper divisors (1561581295).

2501015825 is a wasteful number, since it uses less digits than its factorization.

2501015825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 29.

The square root of 2501015825 is about 50010.1572183092. The cubic root of 2501015825 is about 1357.3926082902.

Adding to 2501015825 its reverse (5285101052), we get a palindrome (7786116877).

The spelling of 2501015825 in words is "two billion, five hundred one million, fifteen thousand, eight hundred twenty-five".