1682551953 has 16 divisors (see below), whose sum is σ = 2493520000. Its totient is φ = 1121318640.

The previous prime is 1682551951. The next prime is 1682551967. The reversal of 1682551953 is 3591552861.

1682551953 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 551 + 95 + 3 = 666.

It is not a de Polignac number, because 1682551953 - 2¹ = 1682551951 is a prime.

It is a super-2 number, since 2×1682551953² = 5661962149088228418, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1682551899 and 1682551908.

It is not an unprimeable number, because it can be changed into a prime (1682551951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85923 + ... + 103671.

It is an arithmetic number, because the mean of its divisors is an integer number (155845000).

Almost surely, 2^1682551953 is an apocalyptic number.

It is an amenable number.

1682551953 is a deficient number, since it is larger than the sum of its proper divisors (810968047).

1682551953 is a wasteful number, since it uses less digits than its factorization.

1682551953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21269 (or 21263 counting only the distinct ones).

The product of its digits is 324000, while the sum is 45.

The square root of 1682551953 is about 41018.9218897815. The cubic root of 1682551953 is about 1189.3860149757.

The spelling of 1682551953 in words is "one billion, six hundred eighty-two million, five hundred fifty-one thousand, nine hundred fifty-three".