75049150401 has 45 divisors (see below), whose sum is σ = 114207336243. Its totient is φ = 49113935280.

The previous prime is 75049150381. The next prime is 75049150411. The reversal of 75049150401 is 10405194057.

The square root of 75049150401 is 273951.

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

It can be written as a sum of positive squares in only one way, i.e., 2440458801 + 72608691600 = 49401^2 + 269460^2 .

It is not a de Polignac number, because 75049150401 - 2⁷ = 75049150273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75049150411) 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, 150398850 + ... + 150399348.

Almost surely, 2^75049150401 is an apocalyptic number.

75049150401 is the 273951-st square number.

75049150401 is the 136976-th centered octagonal number.

It is an amenable number.

75049150401 is a deficient number, since it is larger than the sum of its proper divisors (39158185842).

75049150401 is an frugal number, since it uses more digits than its factorization.

75049150401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Multiplying 75049150401 by its sum of digits (36), we get a square (2701769414436 = 1643706²).

The spelling of 75049150401 in words is "seventy-five billion, forty-nine million, one hundred fifty thousand, four hundred one".