1006757025 has 24 divisors (see below), whose sum is σ = 1665414240. Its totient is φ = 536643840.

The previous prime is 1006756987. The next prime is 1006757041. The reversal of 1006757025 is 5207576001.

It is not a de Polignac number, because 1006757025 - 2⁸ = 1006756769 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263529 + ... + 267321.

It is an arithmetic number, because the mean of its divisors is an integer number (69392260).

Almost surely, 2^1006757025 is an apocalyptic number.

1006757025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1006757025 is a deficient number, since it is larger than the sum of its proper divisors (658657215).

1006757025 is a wasteful number, since it uses less digits than its factorization.

1006757025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7345 (or 7340 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 1006757025 is about 31729.4346782290. The cubic root of 1006757025 is about 1002.2472875820.

The spelling of 1006757025 in words is "one billion, six million, seven hundred fifty-seven thousand, twenty-five".