1953125513 has 8 divisors (see below), whose sum is σ = 1961515080. Its totient is φ = 1944754560.

The previous prime is 1953125497. The next prime is 1953125543. The reversal of 1953125513 is 3155213591.

It can be written as a sum of positive squares in 4 ways, for example, as 326777929 + 1626347584 = 18077^2 + 40328^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1953125513 - 2⁴ = 1953125497 is a prime.

It is a super-3 number, since 3×1953125513³ (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1953125543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230333 + ... + 238661.

It is an arithmetic number, because the mean of its divisors is an integer number (245189385).

Almost surely, 2^1953125513 is an apocalyptic number.

It is an amenable number.

1953125513 is a deficient number, since it is larger than the sum of its proper divisors (8389567).

1953125513 is an equidigital number, since it uses as much as digits as its factorization.

1953125513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9307.

The product of its digits is 20250, while the sum is 35.

The square root of 1953125513 is about 44194.1796280913. The cubic root of 1953125513 is about 1250.0001094400. Note that the first 3 decimals are identical.

The spelling of 1953125513 in words is "one billion, nine hundred fifty-three million, one hundred twenty-five thousand, five hundred thirteen".