1829015512921 has 9 divisors (see below), whose sum is σ = 1840527137631. Its totient is φ = 1817575468272.

The previous prime is 1829015512873. The next prime is 1829015512943. The reversal of 1829015512921 is 1292155109281.

The square root of 1829015512921 is 1352411.

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

It can be written as a sum of positive squares in only one way, i.e., 1814934368025 + 14081144896 = 1347195^2 + 118664^2 .

It is not a de Polignac number, because 1829015512921 - 2¹⁷ = 1829015381849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1829015512321) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 220438845 + ... + 220447141.

Almost surely, 2^{1829015512921} is an apocalyptic number.

1829015512921 is the 1352411-st square number.

1829015512921 is the 676206-th centered octagonal number.

It is an amenable number.

1829015512921 is a deficient number, since it is larger than the sum of its proper divisors (11511624710).

1829015512921 is an frugal number, since it uses more digits than its factorization.

1829015512921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16920 (or 8460 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 46.

The spelling of 1829015512921 in words is "one trillion, eight hundred twenty-nine billion, fifteen million, five hundred twelve thousand, nine hundred twenty-one".