58513104 has 200 divisors, whose sum is σ = 191571072. Its totient is φ = 17107200.

The previous prime is 58513087. The next prime is 58513121. The reversal of 58513104 is 40131585.

It is an interprime number because it is at equal distance from previous prime (58513087) and next prime (58513121).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 387429 + ... + 387579.

Almost surely, 2^58513104 is an apocalyptic number.

58513104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58513104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95785536).

58513104 is an abundant number, since it is smaller than the sum of its proper divisors (133057968).

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

58513104 is a wasteful number, since it uses less digits than its factorization.

58513104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 58513104 is about 7649.3858577013. The cubic root of 58513104 is about 388.2257870302.

Adding to 58513104 its reverse (40131585), we get a palindrome (98644689).

It can be divided in two parts, 585 and 13104, that added together give a square (13689 = 117²).

The spelling of 58513104 in words is "fifty-eight million, five hundred thirteen thousand, one hundred four".