152005205313 has 40 divisors (see below), whose sum is σ = 245551472936. Its totient is φ = 93153369600.

The previous prime is 152005205293. The next prime is 152005205323. The reversal of 152005205313 is 313502500251.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 31524712704 + 120480492609 = 177552^2 + 347103^2 .

It is not a de Polignac number, because 152005205313 - 2¹⁷ = 152005074241 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152005205323) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45718 + ... + 553263.

Almost surely, 2^152005205313 is an apocalyptic number.

152005205313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

152005205313 is a deficient number, since it is larger than the sum of its proper divisors (93546267623).

152005205313 is a wasteful number, since it uses less digits than its factorization.

152005205313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599247 (or 599238 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 152005205313 its reverse (313502500251), we get a palindrome (465507705564).

The spelling of 152005205313 in words is "one hundred fifty-two billion, five million, two hundred five thousand, three hundred thirteen".