10414757625 has 64 divisors (see below), whose sum is σ = 17620761600. Its totient is φ = 5461996800.

The previous prime is 10414757569. The next prime is 10414757659. The reversal of 10414757625 is 52675741401.

It is not a de Polignac number, because 10414757625 - 2⁷ = 10414757497 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9390571 + ... + 9391679.

It is an arithmetic number, because the mean of its divisors is an integer number (275324400).

Almost surely, 2^10414757625 is an apocalyptic number.

10414757625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10414757625 is a deficient number, since it is larger than the sum of its proper divisors (7206003975).

10414757625 is a wasteful number, since it uses less digits than its factorization.

10414757625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 10414757625 in words is "ten billion, four hundred fourteen million, seven hundred fifty-seven thousand, six hundred twenty-five".