75514490401 has 27 divisors (see below), whose sum is σ = 90366869817. Its totient is φ = 62917979040.

The previous prime is 75514490383. The next prime is 75514490417. The reversal of 75514490401 is 10409441557.

It is a happy number.

The square root of 75514490401 is 274799.

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

It can be written as a sum of positive squares in 4 ways, for example, as 25238088225 + 50276402176 = 158865^2 + 224224^2 .

It is not a de Polignac number, because 75514490401 - 2⁵ = 75514490369 is a prime.

It is a super-2 number, since 2×75514490401² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75514490801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 71172411 + ... + 71173471.

Almost surely, 2^75514490401 is an apocalyptic number.

75514490401 is the 274799-th square number.

75514490401 is the 137400-th centered octagonal number.

It is an amenable number.

75514490401 is a deficient number, since it is larger than the sum of its proper divisors (14852379416).

75514490401 is an frugal number, since it uses more digits than its factorization.

75514490401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 75514490401 in words is "seventy-five billion, five hundred fourteen million, four hundred ninety thousand, four hundred one".