1506206465952 has 96 divisors (see below), whose sum is σ = 4052188715904. Its totient is φ = 489585868800.

The previous prime is 1506206465947. The next prime is 1506206465957. The reversal of 1506206465952 is 2595646026051.

It is an interprime number because it is at equal distance from previous prime (1506206465947) and next prime (1506206465957).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1506206465952² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1506206465895 and 1506206465904.

It is not an unprimeable number, because it can be changed into a prime (1506206465957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8122752 + ... + 8306112.

It is an arithmetic number, because the mean of its divisors is an integer number (42210299124).

Almost surely, 2^{1506206465952} is an apocalyptic number.

1506206465952 is a gapful number since it is divisible by the number (12) 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 1506206465952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026094357952).

1506206465952 is an abundant number, since it is smaller than the sum of its proper divisors (2545982249952).

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

1506206465952 is a wasteful number, since it uses less digits than its factorization.

1506206465952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185502 (or 185494 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 51.

The spelling of 1506206465952 in words is "one trillion, five hundred six billion, two hundred six million, four hundred sixty-five thousand, nine hundred fifty-two".