975142425049 has 27 divisors (see below), whose sum is σ = 1085762102103. Its totient is φ = 875376994752.

The previous prime is 975142425041. The next prime is 975142425083. The reversal of 975142425049 is 940524241579.

The square root of 975142425049 is 987493.

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

It can be written as a sum of positive squares in 13 ways, for example, as 409235281225 + 565907143824 = 639715^2 + 752268^2 .

It is not a de Polignac number, because 975142425049 - 2³ = 975142425041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 975142424987 and 975142425005.

It is not an unprimeable number, because it can be changed into a prime (975142425041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 474983107 + ... + 474985159.

It is an arithmetic number, because the mean of its divisors is an integer number (40213411189).

Almost surely, 2^975142425049 is an apocalyptic number.

975142425049 is the 987493-rd square number.

975142425049 is the 493747-th centered octagonal number.

It is an amenable number.

975142425049 is a deficient number, since it is larger than the sum of its proper divisors (110619677054).

975142425049 is an frugal number, since it uses more digits than its factorization.

975142425049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4206 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 975142425049 in words is "nine hundred seventy-five billion, one hundred forty-two million, four hundred twenty-five thousand, forty-nine".