95013000 has 384 divisors, whose sum is σ = 367960320. Its totient is φ = 22809600.

The previous prime is 95012987. The next prime is 95013001. The reversal of 95013000 is 31059.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (95013001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4130989 + ... + 4131011.

It is an arithmetic number, because the mean of its divisors is an integer number (958230).

Almost surely, 2^95013000 is an apocalyptic number.

95013000 is a gapful number since it is divisible by the number (90) 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 95013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183980160).

95013000 is an abundant number, since it is smaller than the sum of its proper divisors (272947320).

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

95013000 is a wasteful number, since it uses less digits than its factorization.

95013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 95013000 is about 9747.4612079249. The cubic root of 95013000 is about 456.3110758295.

Adding to 95013000 its reverse (31059), we get a palindrome (95044059).

The spelling of 95013000 in words is "ninety-five million, thirteen thousand".