75513130 has 64 divisors (see below), whose sum is σ = 170553600. Its totient is φ = 23385600.

The previous prime is 75513127. The next prime is 75513131. The reversal of 75513130 is 3131557.

It is a junction number, because it is equal to n+sod(n) for n = 75513095 and 75513104.

It is not an unprimeable number, because it can be changed into a prime (75513131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216196 + ... + 216544.

It is an arithmetic number, because the mean of its divisors is an integer number (2664900).

Almost surely, 2^75513130 is an apocalyptic number.

75513130 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

75513130 is an abundant number, since it is smaller than the sum of its proper divisors (95040470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75513130 is a wasteful number, since it uses less digits than its factorization.

75513130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655.

The product of its (nonzero) digits is 1575, while the sum is 25.

The square root of 75513130 is about 8689.8291122438. The cubic root of 75513130 is about 422.6759044853.

Adding to 75513130 its reverse (3131557), we get a palindrome (78644687).

It can be divided in two parts, 755131 and 30, that added together give a square (755161 = 869²).

The spelling of 75513130 in words is "seventy-five million, five hundred thirteen thousand, one hundred thirty".