75378251601 has 45 divisors (see below), whose sum is σ = 114490529179. Its totient is φ = 47789445264.

The previous prime is 75378251579. The next prime is 75378251603. The reversal of 75378251601 is 10615287357.

It is a happy number.

The square root of 75378251601 is 274551.

It is a perfect power (a square), and thus also a powerful number.

75378251601 is a `hidden beast` number, since 7 + 5 + 37 + 8 + 2 + 5 + 1 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68568041025 + 6810210576 = 261855^2 + 82524^2 .

It is a de Polignac number, because none of the positive numbers 2^k-75378251601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75378251603) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 435712351 + ... + 435712523.

Almost surely, 2^75378251601 is an apocalyptic number.

75378251601 is the 274551-st square number.

75378251601 is the 137276-th centered octagonal number.

It is an amenable number.

75378251601 is a deficient number, since it is larger than the sum of its proper divisors (39112277578).

75378251601 is an frugal number, since it uses more digits than its factorization.

75378251601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 75378251601 in words is "seventy-five billion, three hundred seventy-eight million, two hundred fifty-one thousand, six hundred one".