10253958567 has 32 divisors (see below), whose sum is σ = 14231715840. Its totient is φ = 6560040960.

The previous prime is 10253958553. The next prime is 10253958593. The reversal of 10253958567 is 76585935201.

It is a happy number.

It is not a de Polignac number, because 10253958567 - 2⁷ = 10253958439 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10253918567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7125034 + ... + 7126472.

It is an arithmetic number, because the mean of its divisors is an integer number (444741120).

Almost surely, 2^10253958567 is an apocalyptic number.

10253958567 is a deficient number, since it is larger than the sum of its proper divisors (3977757273).

10253958567 is a wasteful number, since it uses less digits than its factorization.

10253958567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063.

The product of its (nonzero) digits is 2268000, while the sum is 51.

The spelling of 10253958567 in words is "ten billion, two hundred fifty-three million, nine hundred fifty-eight thousand, five hundred sixty-seven".