7385257506 has 48 divisors (see below), whose sum is σ = 16245684000. Its totient is φ = 2236534080.

The previous prime is 7385257483. The next prime is 7385257513. The reversal of 7385257506 is 6057525837.

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 23 ways as a sum of consecutive naturals, for example, 1957590 + ... + 1961358.

It is an arithmetic number, because the mean of its divisors is an integer number (338451750).

Almost surely, 2^7385257506 is an apocalyptic number.

7385257506 is an abundant number, since it is smaller than the sum of its proper divisors (8860426494).

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

7385257506 is a wasteful number, since it uses less digits than its factorization.

7385257506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6495 (or 6484 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 48.

The square root of 7385257506 is about 85937.5209439974. The cubic root of 7385257506 is about 1947.4002177686.

It can be divided in two parts, 738525 and 7506, that added together give a triangular number (746031 = T₁₂₂₁).

The spelling of 7385257506 in words is "seven billion, three hundred eighty-five million, two hundred fifty-seven thousand, five hundred six".