127633853325 has 192 divisors, whose sum is σ = 253293502464. Its totient is φ = 55987200000.

The previous prime is 127633853309. The next prime is 127633853339. The reversal of 127633853325 is 523358336721.

It is not a de Polignac number, because 127633853325 - 2⁴ = 127633853309 is a prime.

It is a super-2 number, since 2×127633853325² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70867425 + ... + 70869225.

It is an arithmetic number, because the mean of its divisors is an integer number (1319236992).

Almost surely, 2^127633853325 is an apocalyptic number.

127633853325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

127633853325 is a deficient number, since it is larger than the sum of its proper divisors (125659649139).

127633853325 is a wasteful number, since it uses less digits than its factorization.

127633853325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2031 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 48.

The spelling of 127633853325 in words is "one hundred twenty-seven billion, six hundred thirty-three million, eight hundred fifty-three thousand, three hundred twenty-five".