1023545133 has 32 divisors (see below), whose sum is σ = 1638336000. Its totient is φ = 627818688.

The previous prime is 1023545113. The next prime is 1023545137. The reversal of 1023545133 is 3315453201.

1023545133 is a `hidden beast` number, since 102 + 3 + 545 + 13 + 3 = 666.

It is not a de Polignac number, because 1023545133 - 2⁵ = 1023545101 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1023545097 and 1023545106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023545137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106668 + ... + 115866.

It is an arithmetic number, because the mean of its divisors is an integer number (51198000).

Almost surely, 2^1023545133 is an apocalyptic number.

1023545133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1023545133 is a deficient number, since it is larger than the sum of its proper divisors (614790867).

1023545133 is a wasteful number, since it uses less digits than its factorization.

1023545133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9538 (or 9532 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1023545133 is about 31992.8919136736. The cubic root of 1023545133 is about 1007.7875739298.

Adding to 1023545133 its reverse (3315453201), we get a palindrome (4338998334).

The spelling of 1023545133 in words is "one billion, twenty-three million, five hundred forty-five thousand, one hundred thirty-three".