575434434575 has 48 divisors (see below), whose sum is σ = 958038014976. Its totient is φ = 331119100800.

The previous prime is 575434434563. The next prime is 575434434593.

It is a happy number.

575434434575 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 575434434575 - 2¹⁸ = 575434172431 is a prime.

It is a super-2 number, since 2×575434434575² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 575434434575.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11472167 + ... + 11522216.

It is an arithmetic number, because the mean of its divisors is an integer number (19959125312).

Almost surely, 2^575434434575 is an apocalyptic number.

575434434575 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

575434434575 is a deficient number, since it is larger than the sum of its proper divisors (382603580401).

575434434575 is a wasteful number, since it uses less digits than its factorization.

575434434575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22994424 (or 22994419 counting only the distinct ones).

The product of its digits is 70560000, while the sum is 56.

The spelling of 575434434575 in words is "five hundred seventy-five billion, four hundred thirty-four million, four hundred thirty-four thousand, five hundred seventy-five".