95016213009 has 27 divisors (see below), whose sum is σ = 141106047537. Its totient is φ = 61609944384.

The previous prime is 95016212989. The next prime is 95016213053. The reversal of 95016213009 is 90031261059.

The square root of 95016213009 is 308247.

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

It can be written as a sum of positive squares in 4 ways, for example, as 533748609 + 94482464400 = 23103^2 + 307380^2 .

It is not a de Polignac number, because 95016213009 - 2⁹ = 95016212497 is a prime.

It is a super-4 number, since 4×95016213009⁴ (a number of 45 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (95016213209) 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, 34214029 + ... + 34216805.

Almost surely, 2^95016213009 is an apocalyptic number.

95016213009 is the 308247-th square number.

95016213009 is the 154124-th centered octagonal number.

It is an amenable number.

95016213009 is a deficient number, since it is larger than the sum of its proper divisors (46089834528).

95016213009 is an frugal number, since it uses more digits than its factorization.

95016213009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5634 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

Multiplying 95016213009 by its sum of digits (36), we get a square (3420583668324 = 1849482²).

It can be divided in two parts, 95016 and 213009, that added together give a square (308025 = 555²).

The spelling of 95016213009 in words is "ninety-five billion, sixteen million, two hundred thirteen thousand, nine".